Pith Number

pith:4VUDXMKN

pith:2018:4VUDXMKNRTEIFZIPOQAK5HTOAQ

not attested not anchored not stored refs pending

On the boundary Strichartz estimates for wave and Schr\"odinger equations

Ji Li, Kenji Nakanishi, Lixin Yan, Zihua Guo

arxiv:1805.01180 v1 · 2018-05-03 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VUDXMKNRTEIFZIPOQAK5HTOAQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:16:52.303321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5683bb14d8cc882e50f7400ae9e6e0436e50947907710e62b8dc68e4a5561d8

Aliases

arxiv: 1805.01180 · arxiv_version: 1805.01180v1 · doi: 10.48550/arxiv.1805.01180 · pith_short_12: 4VUDXMKNRTEI · pith_short_16: 4VUDXMKNRTEIFZIP · pith_short_8: 4VUDXMKN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4VUDXMKNRTEIFZIPOQAK5HTOAQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e5683bb14d8cc882e50f7400ae9e6e0436e50947907710e62b8dc68e4a5561d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d06eec47d058cd1c21578731318623f784271dc58525d26428a77a6bf09e76d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-03T09:21:59Z",
    "title_canon_sha256": "231c5cbe1ebd7f97ee6a09b5fa37e92cb81b89bc6f3c378a095330e775a2b0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01180",
    "kind": "arxiv",
    "version": 1
  }
}